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Finding the Fourth Proportional to 6,804.18, 10,201.91 and 2,858.00

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Solution

The fourth proportional to 6,804.18, 10,201.91 and 2,858.00 is: 4,285.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,804.18 : 10,201.91 = 2,858.00 : x
  2. Step 2: Convert to fraction form
    6,804.18/10,201.91 = 2,858.00/x
  3. Step 3: Cross multiply
    6,804.18x = 10,201.91 × 2,858.00
  4. Step 4: Simplify right side
    6,804.18x = 29,156,993.48
  5. Step 5: Solve for x
    x = 29,156,993.48/6,804.18
  6. Step 6: Final answer
    x = 4,285.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.